A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
|---|---|---|---|---|---|---|
((((b>j)&(~(p)&(p|j)))&j)&(r>(p&j))) | (~(((p&~(r))&r))>p) | 0 | 1 | 1 | 0 | not entailment |
((j|~((p&p)))&((b|p)&~(b))) | (r>(b|b)) | 0 | 1 | 0 | 0 | not entailment |
~((b>((j|b)>~(j)))) | ((~(((b&p)|((p|b)|j)))>p)&(j|(b|r))) | 1 | 0 | 0 | 0 | entailment |
(b>~(b)) | ~((p&(b&b))) | 1 | 0 | 0 | 0 | entailment |
~((b>((j|b)>~(j)))) | ~((p&(b&b))) | 0 | 1 | 0 | 0 | not entailment |
(b>~(b)) | ((~(((b&p)|((p|b)|j)))>p)&(j|(b|r))) | 0 | 0 | 0 | 0 | not entailment |
((r&j)&((r>r)>r)) | (b|r) | 1 | 1 | 0 | 0 | entailment |
(~((j>(j&r)))&~((((b&(p>j))&j)&p))) | ((p|b)|~((((r&p)|j)>r))) | 1 | 1 | 1 | 0 | entailment |
((r&j)&((r>r)>r)) | ((p|b)|~((((r&p)|j)>r))) | 0 | 0 | 0 | 0 | not entailment |
(~((j>(j&r)))&~((((b&(p>j))&j)&p))) | (b|r) | 0 | 1 | 1 | 0 | not entailment |
(((j&b)&j)&(j>b)) | ~(~((j&((b&~((j&(r|j))))|b)))) | 1 | 0 | 0 | 0 | entailment |
((b|r)&~(b)) | ~((((p>p)&(r>~(r)))&(j>(p&j)))) | 1 | 0 | 0 | 0 | entailment |
(((j&b)&j)&(j>b)) | ~((((p>p)&(r>~(r)))&(j>(p&j)))) | 0 | 0 | 0 | 0 | not entailment |
((b|r)&~(b)) | ~(~((j&((b&~((j&(r|j))))|b)))) | 0 | 0 | 0 | 0 | not entailment |
~(((((b|r)>~(b))&~((j>b)))|(b|p))) | (((p>p)>(p>r))>~((p|(p&(~(j)>j))))) | 1 | 1 | 1 | 0 | entailment |
~(~((b&j))) | (p|j) | 1 | 1 | 0 | 0 | entailment |
~(((((b|r)>~(b))&~((j>b)))|(b|p))) | (p|j) | 0 | 1 | 1 | 0 | not entailment |
~(~((b&j))) | (((p>p)>(p>r))>~((p|(p&(~(j)>j))))) | 0 | 0 | 0 | 0 | not entailment |
~(((j>(((j&(b|j))&~((p&b)))&r))|p)) | (~(r)>j) | 1 | 1 | 1 | 0 | entailment |
~(((b>j)|~((~(p)|b)))) | (~(((p|b)&b))>p) | 1 | 1 | 1 | 0 | entailment |
~(((j>(((j&(b|j))&~((p&b)))&r))|p)) | (~(((p|b)&b))>p) | 0 | 1 | 1 | 1 | not entailment |
~(((b>j)|~((~(p)|b)))) | (~(r)>j) | 0 | 1 | 0 | 0 | not entailment |
((((j|p)|r)&p)&(j&r)) | (p&(j|(~((j>(j&p)))|(b|b)))) | 1 | 0 | 0 | 0 | entailment |
((~(((j&r)>(~(p)&p)))|(r&(p|(j>p))))&b) | ~(~(~(~(b)))) | 1 | 1 | 1 | 1 | entailment |
((((j|p)|r)&p)&(j&r)) | ~(~(~(~(b)))) | 0 | 1 | 0 | 0 | not entailment |
((~(((j&r)>(~(p)&p)))|(r&(p|(j>p))))&b) | (p&(j|(~((j>(j&p)))|(b|b)))) | 0 | 1 | 1 | 1 | not entailment |
~((((r>b)|b)|((j>b)&((r|b)&p)))) | ~(~(((((p&b)>(b&r))|j)|(b>r)))) | 1 | 1 | 1 | 0 | entailment |
((~(~((r|b)))&((j|b)&b))&(p|~(p))) | ((~((j>j))>j)>b) | 1 | 1 | 1 | 0 | entailment |
~((((r>b)|b)|((j>b)&((r|b)&p)))) | ((~((j>j))>j)>b) | 0 | 1 | 1 | 0 | not entailment |
((~(~((r|b)))&((j|b)&b))&(p|~(p))) | ~(~(((((p&b)>(b&r))|j)|(b>r)))) | 0 | 1 | 1 | 0 | not entailment |
(b&j) | (((~(r)&b)|b)|(j>(r|(p|r)))) | 1 | 0 | 0 | 0 | entailment |
~((b|(b|r))) | ~(b) | 1 | 1 | 1 | 1 | entailment |
(b&j) | ~(b) | 0 | 1 | 1 | 0 | not entailment |
~((b|(b|r))) | (((~(r)&b)|b)|(j>(r|(p|r)))) | 0 | 0 | 0 | 0 | not entailment |
((r>b)&((~(b)|(r|(b&j)))&b)) | (b|p) | 1 | 1 | 0 | 0 | entailment |
~((((p>p)>((b>((p>p)&p))>p))&b)) | ((~(~(b))>(b&p))&~(~((r>~(~(r)))))) | 1 | 0 | 0 | 0 | entailment |
((r>b)&((~(b)|(r|(b&j)))&b)) | ((~(~(b))>(b&p))&~(~((r>~(~(r)))))) | 0 | 0 | 0 | 0 | not entailment |
~((((p>p)>((b>((p>p)&p))>p))&b)) | (b|p) | 0 | 1 | 1 | 0 | not entailment |
(j&((p&(p|j))>(~(p)>(p>p)))) | ((b|(j&(b|j)))|j) | 1 | 1 | 0 | 0 | entailment |
(((b&j)|p)&~(((j>b)&j))) | (((p&((j>p)>(j>j)))|b)|b) | 1 | 1 | 1 | 0 | entailment |
(j&((p&(p|j))>(~(p)>(p>p)))) | (((p&((j>p)>(j>j)))|b)|b) | 0 | 1 | 0 | 0 | not entailment |
(((b&j)|p)&~(((j>b)&j))) | ((b|(j&(b|j)))|j) | 0 | 1 | 1 | 1 | not entailment |
(((b>~((r&j)))>p)&(j&((j>(b|b))|(r|b)))) | (~(j)>j) | 1 | 1 | 1 | 1 | entailment |
~((((~(((j|p)|j))&b)&((r&(j|j))&b))|p)) | (((j>b)&(r|j))|~(p)) | 1 | 1 | 1 | 0 | entailment |
(((b>~((r&j)))>p)&(j&((j>(b|b))|(r|b)))) | (((j>b)&(r|j))|~(p)) | 0 | 1 | 1 | 0 | not entailment |
~((((~(((j|p)|j))&b)&((r&(j|j))&b))|p)) | (~(j)>j) | 0 | 1 | 1 | 1 | not entailment |
(b&(((b>(p|p))|~(p))&j)) | ((b>~(j))>(~(b)>b)) | 1 | 1 | 1 | 1 | entailment |
((b>b)>~((~((j>(b&j)))>p))) | (((j&b)|~(~((j>r))))>(~((p&r))&j)) | 1 | 0 | 0 | 0 | entailment |
(b&(((b>(p|p))|~(p))&j)) | (((j&b)|~(~((j>r))))>(~((p&r))&j)) | 0 | 0 | 0 | 0 | not entailment |
((b>b)>~((~((j>(b&j)))>p))) | ((b>~(j))>(~(b)>b)) | 0 | 1 | 1 | 1 | not entailment |
~(((u>u)>(u>h))) | ~(((h|((h&h)>(h>h)))&(~(~(h))|h))) | 1 | 0 | 1 | 0 | entailment |
((h&(u&(~((h|h))>~(h))))&(u&u)) | (~(h)>(~(~(~(~(h))))&((h>h)>h))) | 1 | 0 | 1 | 1 | entailment |
~(((u>u)>(u>h))) | (~(h)>(~(~(~(~(h))))&((h>h)>h))) | 0 | 0 | 1 | 0 | not entailment |
((h&(u&(~((h|h))>~(h))))&(u&u)) | ~(((h|((h&h)>(h>h)))&(~(~(h))|h))) | 0 | 0 | 1 | 1 | not entailment |
(u&(u&u)) | (~((u|(h>h)))|((h|(u|u))&u)) | 1 | 0 | 0 | 0 | entailment |
(((~((h>u))|(u&u))|u)>(h>((u>u)>~(h)))) | (~(~(~((~(u)|~(h)))))>(u>~(h))) | 1 | 1 | 1 | 1 | entailment |
(u&(u&u)) | (~(~(~((~(u)|~(h)))))>(u>~(h))) | 0 | 0 | 0 | 0 | not entailment |
(((~((h>u))|(u&u))|u)>(h>((u>u)>~(h)))) | (~((u|(h>h)))|((h|(u|u))&u)) | 0 | 1 | 1 | 0 | not entailment |
(u&u) | ~(~(~(((h>u)&~(u))))) | 1 | 0 | 0 | 0 | entailment |
((u>(~(u)&u))&((u>u)&~(~(~(u))))) | ~(u) | 1 | 1 | 1 | 1 | entailment |
(u&u) | ~(u) | 0 | 1 | 1 | 0 | not entailment |
((u>(~(u)&u))&((u>u)&~(~(~(u))))) | ~(~(~(((h>u)&~(u))))) | 0 | 1 | 0 | 0 | not entailment |
(~(~(((u&u)|(u&(h|h)))))&~(h)) | ~(((h|((h&h)>u))&(h|h))) | 1 | 1 | 1 | 0 | entailment |
~(~((h&(~(u)|~(((h&u)>u)))))) | ~(((u>(u&h))>~((h&h)))) | 1 | 1 | 1 | 1 | entailment |
(~(~(((u&u)|(u&(h|h)))))&~(h)) | ~(((u>(u&h))>~((h&h)))) | 0 | 1 | 1 | 0 | not entailment |
~(~((h&(~(u)|~(((h&u)>u)))))) | ~(((h|((h&h)>u))&(h|h))) | 0 | 1 | 1 | 0 | not entailment |
~(~(~(((u|(u|u))>(h&(h>(u&u))))))) | ~((h&h)) | 1 | 1 | 1 | 1 | entailment |
(((u>h)&(h&(u&(u&u))))&~((~(h)&h))) | (((u|u)|(h|h))&((((h>u)&u)&h)&(u|u))) | 1 | 1 | 1 | 1 | entailment |
~(~(~(((u|(u|u))>(h&(h>(u&u))))))) | (((u|u)|(h|h))&((((h>u)&u)&h)&(u|u))) | 0 | 1 | 1 | 1 | not entailment |
(((u>h)&(h&(u&(u&u))))&~((~(h)&h))) | ~((h&h)) | 0 | 1 | 1 | 1 | not entailment |
(((h|h)&(h&u))&h) | (u|u) | 1 | 1 | 1 | 1 | entailment |
~(u) | ~(((u&(h&h))&(u|h))) | 1 | 0 | 0 | 0 | entailment |
(((h|h)&(h&u))&h) | ~(((u&(h&h))&(u|h))) | 0 | 0 | 1 | 0 | not entailment |
~(u) | (u|u) | 0 | 1 | 1 | 0 | not entailment |
~((u|~(h))) | (h&(~(h)>h)) | 1 | 1 | 1 | 1 | entailment |
((u|(u&h))|~((~((u>u))|(u>u)))) | (u&(u|u)) | 1 | 1 | 1 | 1 | entailment |
~((u|~(h))) | (u&(u|u)) | 0 | 1 | 1 | 0 | not entailment |
((u|(u&h))|~((~((u>u))|(u>u)))) | (h&(~(h)>h)) | 0 | 1 | 1 | 1 | not entailment |
(h|h) | ((h|h)|((h&h)|u)) | 1 | 0 | 0 | 0 | entailment |
~((((h|u)|~(u))&((h>u)>h))) | ((((h>h)|(h&u))&h)>u) | 1 | 1 | 1 | 0 | entailment |
(h|h) | ((((h>h)|(h&u))&h)>u) | 0 | 0 | 0 | 0 | not entailment |
~((((h|u)|~(u))&((h>u)>h))) | ((h|h)|((h&h)|u)) | 0 | 1 | 1 | 0 | not entailment |
(h&u) | (h|((h|(u>~(~(h))))>u)) | 1 | 0 | 1 | 0 | entailment |
~(((h&h)|((((u&h)&u)>(h>(h|h)))>u))) | ~((u&h)) | 1 | 1 | 1 | 1 | entailment |
(h&u) | ~((u&h)) | 0 | 0 | 1 | 0 | not entailment |
~(((h&h)|((((u&h)&u)>(h>(h|h)))>u))) | (h|((h|(u>~(~(h))))>u)) | 0 | 1 | 1 | 0 | not entailment |
(h&h) | ((~(((h>u)&~(h)))|h)|~((~(h)|(u>h)))) | 1 | 0 | 0 | 0 | entailment |
((((u>h)>u)&u)&((u>(u&((h>u)&h)))>u)) | ((h>h)&(u|u)) | 1 | 1 | 1 | 1 | entailment |
(h&h) | ((h>h)&(u|u)) | 0 | 0 | 0 | 0 | not entailment |
((((u>h)>u)&u)&((u>(u&((h>u)&h)))>u)) | ((~(((h>u)&~(h)))|h)|~((~(h)|(u>h)))) | 0 | 0 | 1 | 1 | not entailment |
(h|((~(~(h))>(h|u))&u)) | ~(~((u|h))) | 1 | 1 | 1 | 1 | entailment |
(((~((h|h))|~(h))&(h>u))&(u>h)) | (u>h) | 1 | 1 | 1 | 1 | entailment |
(h|((~(~(h))>(h|u))&u)) | (u>h) | 0 | 1 | 1 | 0 | not entailment |
(((~((h|h))|~(h))&(h>u))&(u>h)) | ~(~((u|h))) | 0 | 1 | 1 | 1 | not entailment |
((h>u)&h) | (h&u) | 1 | 1 | 1 | 1 | entailment |
~((((u|h)|h)|u)) | (u>(~((u>h))&(h&h))) | 1 | 0 | 1 | 0 | entailment |
((h>u)&h) | (u>(~((u>h))&(h&h))) | 0 | 0 | 1 | 0 | not entailment |
~((((u|h)|h)|u)) | (h&u) | 0 | 1 | 1 | 0 | not entailment |
((h&u)&(((h>h)>((u>u)&u))>(u>h))) | (h>(((u>u)&u)&(h>u))) | 1 | 1 | 1 | 1 | entailment |
~(u) | (h>(~(((u&h)&h))&(((~(u)|u)|(h&u))&h))) | 1 | 0 | 0 | 0 | entailment |
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